GCD of 238, 800, 36, 187 Calculator

Given Input numbers are 238, 800, 36, 187

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 238, 800, 36, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 800, 36, 187 is 1.

Therefore, GCD of numbers 238, 800, 36, 187 is 1

Given Input Data is 238, 800, 36, 187

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 187 is 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(238, 800) = 95200

GCD(238, 800) = ( 238 x 800 ) / 95200

GCD(238, 800) = 190400 / 95200

GCD(238, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

GCD of 238, 800, 36, 187 is 1

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• GCD of 337, 337, 86, 434
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1. What is the GCD of 238, 800, 36, 187?

GCD of 238, 800, 36, 187 is 1

2. Where do I get the detailed procedure to find GCD of 238, 800, 36, 187?

You can find a detailed procedure to find GCD of 238, 800, 36, 187 on our page.

3. How to find GCD of 238, 800, 36, 187 on a calculator?

You can find the GCD of 238, 800, 36, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.